Answer:
Upper P95 = 16.21in
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 14.4, \sigma = 1.1[/tex]
Upper P 95
This is the 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.
Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 14.4}{1.1}[/tex]
[tex]X - 14.4 = 1.1*1.645[/tex]
[tex]X = 16.21[/tex]
Upper P95 = 16.21in
P(5,12)
find cosec theta?
Answer:
[tex] \frac{13}{12}[/tex]
Step-by-step explanation:
[tex]p(5, \: \: 12) = (x, \: \: y) \\ \implies \: x = 5, \: \: y = 12 \\ \because \: {r}^{2} = {x}^{2} + {y}^{2} \\ \therefore \: {r}^{2} = {5}^{2} + {12}^{2} = 25 + 144 = 169 \\ \therefore \: {r} = \sqrt{169} \\ \therefore \: {r} = 13 \\ \because \cosec \theta = \frac{r}{y} \\ \therefore \cosec \theta = \frac{13}{12} \\ [/tex]
What is the equation of the line that goes through (2, -1) and is parallel to y=
3x - 3?
Answer:
y + 1 = 3 (x - 2) (the first option - A - in the list of possible answers)
Step-by-step explanation:
Since the new line has to be parallel to y = 3 x - 3, then it has to have the SAME slope (3) and go through (2, -1). Therefore the slope-point general form has to be:
y - (-1) = 3 (x - 2)
y + 1 = 3 (x - 2)
Which is the first option in the list of possible answers
Nick,Sarah and Gavyn share some sweets on the ratio 6:2:1. Nick gets 30 more sweets than Gavyn. How many sweets does Sarah get?
Answer:
12
Step-by-step explanation:
N:S:G
6:2:1
Nick gets 30 more sweets than Gavyn, therefore we can say that.
[tex]6x=x+30\\5x=30\\x=6[/tex]
As Sarah gets twice the amount of sweets that Gavyn does.
[tex]2(6)=12[/tex]
Some companies spend billions of dollars each year lobbying Congress to secure some desired action. For the years 1998-2012, the number of unique, registered lobbyists who have actively lobbied Congress can be approximated with the 4th -degree polynomial model
N (t) = − 0.35 t^4 + 6.1t^3 − 33 t^2 + 460t + 12278 0 ≤ t ≤ 15
where t represents the number of years since the beginning of the year 1998. Round your answers to the nearest lobbyist.
Required:
a. How many lobbyists were there during the 15-year deal?
b. If this trend continues, how many lobbyists can be expected from 2013 to 2016?
Answer:
a) 14,622 lobbyistsb) 13,498 lobbyistsStep-by-step explanation:
Given the number of unique, registered lobbyists who have actively lobbied Congress can be approximated with the 4th -degree polynomial model
N(t) = − 0.35 t⁴ + 6.1t³ − 33 t² + 460t + 12278 0 ≤ t ≤ 15 where;
t = number of years since the beginning of the year 1998
a) To determine the number of lobbyists were there during the 15-year deal, we will have to substitute t = 15 into the modeled equation as shown;
N(15) = − 0.35 (15)⁴ + 6.1(15)³ − 33(15)² + 460(15) + 12278
N(15) = -17,718.75+20,587.5-7,425+6,900+12278
N(15) = 14,621.75
This shows that there are about 14,622 lobbyists during the 15-year deal
b) To determine the number of lobbyists that can be expected from 2013 to 2016 if the trend continue, we will substitute t =3 into the modeled equation since there are 3 years between 2012 and 2016.
N(3) = − 0.35 (3)⁴ + 6.1(3)³ − 33(3)² + 460(3) + 12278
N(3) = -28.35+164.7-297+1380+12279
N(3) = 13498.35
This means that if the trend continues, about 13,498 lobbyists will be expected from 2013 to 2016.
2.
√3x + 7 + √x + 1 =2
Answer:
x = -1
Step-by-step explanation:
The usual approach to these is to square the radicals until they are gone.
[tex]\displaystyle\sqrt{3x+7}+\sqrt{x+1}=2\\\\(3x+7) +2\sqrt{(3x+7)(x+1)}+(x+1) = 4\qquad\text{square both sides}\\\\2\sqrt{(3x+7)(x+1)}=-4x-4\qquad\text{subtract $4x+8$}\\\\(3x+7)(x+1)=(-2x-2)^2\qquad\text{divide by 2, square again}\\\\3x^2+10x +7=4x^2+8x+4\qquad\text{simplify}\\\\x^2-2x-3=0\qquad\text{subtract the left expression}\\\\(x-3)(x+1)=0\qquad\text{factor}\\\\x=3,\ x=-1\qquad\text{solutions to the quadratic}[/tex]
Each time the equation is squared, the possibility of an extraneous root is introduced. Here, x=3 is extraneous: it does not satisfy the original equation.
The solution is x = -1.
_____
Using a graphing calculator to solve the original equation can avoid extraneous solutions. The attachment shows only the solution x = -1. Rather than use f(x) = 2, we have rewritten the equation to f(x)-2 = 0. The graphing calculator is really good at showing the function values at the x-intercepts.
6. Factor the expression.
9b2 + 48b + 64
A (3b + 8)2
B (-3b + 8)2
C (-3b - 82
D (3b - 8)2
70%
Answer:
A. [tex](3b+8)^2[/tex]
Step-by-step explanation:
[tex]9b^2+48b +64\\=(3b)^2 + 2\times 3b\times 8 +(8)^2\\=(3b+8)^2[/tex]
What is the algebraic expression for "the sum of three times a number and seven"? A. 3 x + 7 B. 3 x + 11 x C. 3 + 7 x
Answer:
3x+7
Step-by-step explanation:
Three times a number, let x be the number and 7 so plus 7
The algebraic expression for the given phrase is 3x+7. Therefore, the correct answer is option A.
The given phrase is "the sum of three times a number and seven".
Variables and constants are combined to generate algebraic expressions using a variety of techniques. Terms comprise expressions. A term is the sum of several elements. Both numerical and algebraic (literal) factors are acceptable.
Let the unknown number be x.
Three times of a number = 3x
The number 7 is added to the obtained sum.
That is, 3x+7
So, the expression is 3x+7
The algebraic expression for the given phrase is 3x+7. Therefore, the correct answer is option A.
To learn more about an expression visit:
https://brainly.com/question/28170201.
#SPJ4
What number should be in the blank in the sequence? 7; 17; 37; 77; ___ ; 317
Answer:
157
Step-by-step explanation:
Given the sequence
7; 17; 37; 77; ___ ; 317
17-7=1037-17=2077-37=40Let the blank space=x
We notice that the difference is always multiplied by 2.
Therefore:
x-77=80
x=80+77
x=157
The number that should be in the blank space of the sequence is 157.
Now, observe the pattern in full:
17-7=1037-17=2077-37=40157-77=80317-157=160The sequence concept to solve the problem. Then the missing number of the sequence is 157.
What is a sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
Given
The sequence is [tex]7, 17, 37, 77, \_\_\_\_ , 317[/tex]
We can observe that the difference is getting double That can be given as
[tex]1 7\ \ - 7 = 10\\\\37 - 17 = 20 \\\\77 - 37 = 40[/tex] and so on.
Then the fourth number will be
[tex]77 + 80 = 157[/tex]
Then the fifth number will be
[tex]157+160 = 317[/tex]
Thus, the missing number of the sequence is 157.
More about the sequence link is given below.
https://brainly.com/question/21961097
An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range:
420 425 427 427 432 433 434 437 439 446 447 448 453 454 465 469
Suppose the sample is from a normal population.
(a) Calculate a 95% confidence interval for the population mean, and interpret it.
(b) Calculate a 95% upper confidence bound for the population mean, and interpret it.
Answer:
(a) A 95% confidence interval for the population mean is [433.36 , 448.64].
(b) A 95% upper confidence bound for the population mean is 448.64.
Step-by-step explanation:
We are given that article contained the following observations on degrees of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range:
420, 425, 427, 427, 432, 433, 434, 437, 439, 446, 447, 448, 453, 454, 465, 469.
Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean = [tex]\frac{\sum X}{n}[/tex] = 441
s = sample standard deviation = [tex]\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }[/tex] = 14.34
n = sample size = 16
[tex]\mu[/tex] = population mean
Here for constructing a 95% confidence interval we have used One-sample t-test statistics as we don't know about population standard deviation.
So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-2.131 < [tex]t_1_5[/tex] < 2.131) = 0.95 {As the critical value of t at 15 degrees of
freedom are -2.131 & 2.131 with P = 2.5%}
P(-2.131 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.131) = 0.95
P( [tex]-2.131 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.131 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95
P( [tex]\bar X-2.131 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.131 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95
95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X -2.131 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X +2.131 \times {\frac{s}{\sqrt{n} } }[/tex] ]
= [ [tex]441-2.131 \times {\frac{14.34}{\sqrt{16} } }[/tex] , [tex]441+2.131 \times {\frac{14.34}{\sqrt{16} } }[/tex] ]
= [433.36 , 448.64]
(a) Therefore, a 95% confidence interval for the population mean is [433.36 , 448.64].
The interpretation of the above interval is that we are 95% confident that the population mean will lie between 433.36 and 448.64.
(b) A 95% upper confidence bound for the population mean is 448.64 which means that we are 95% confident that the population mean will not be more than 448.64.
(
[tex] \sqrt{2 - 1( \sqrt{2 + 3} } [/tex]
(
For a specific location in a particularly rainy city, the time a new thunderstorm begins to produce rain (first drop time) is uniformly distributed throughout the day and independent of this first drop time for the surrounding days. Given that it will rain at some point both of the next two days, what is the probability that the first drop of rain will be felt between 8: 40 AM and 2: 35 PM on both days? a) 0.2479 Web) 0.0608 om c) 0.2465 d) 0.9385 e) 0.0615 f) None of the above.
Answer:
b) 0.0608
Step-by-step explanation:
As it is mentioned that the next two days i.e 24 hours, the probability of the rain is uniformly distributed
Therefore the rain probability is
[tex]= \frac{T}{24}[/tex]
where,
T = Length of the time interval
Plus, as we know that rain is independent
So let us assume the rain between the 8: 40 AM and 2: 35 PM on single day is P1 and the time interval is 5 hours 55 minutes
i.e
= 5.91666 hours long.
So, P1 should be
[tex]= \frac{5.91666}{24}[/tex]
= 0.2465
Now we assume the probability of rain on day 2 is P2
So it would be same i.e 0.2465
Since these events are independent
So, the total probability is
[tex]= 0.2465 \times 0.2465[/tex]
= 0.0608
Hence, the b option is correct
According to the Center for Disease Control and Prevention (CDC), up to 20% of Americans contract the influenza virus each year, and approximately 3% of all births in the United States result in birth defects each year. Consider two babies being born independently of one another. 1. The probability that both babies have birth defects is;______ a. 0.0009. b. 0.0400.c. 0.0606. d. 0.2000. 2. The probability that neither baby catches the flu in a given year is:_____ a. 0.024. b. 0.040. c. 0.230 d. 0.640. 3. Event A occurs with probability 0.1. Event B occurs with probability 0.6. If A and B are independent, then:______ a. P(A and B) = 0.06. b. P(A or B) = 0.70. c. P(A and B) = 0.70. d. P(A or B) = 0.06. 4. Event A occurs with probability 0.2. Event B occurs with probability 0.9. Event A and B:______ are disjoint cannot be independent. cannot be disjoint. are reciprocating. The center for Disease Control and Prevention reports that the rate of Chlamydia infections among American women ages 20 to 24 is 2791.5 per 100,000. Take a random sample of three American women in this age group. 5. The probability that all of them have a Chlamydia infection is:_____ a. nearly 0. b. 0.028. c. 0.084. d. 0.837 6. The probability that none of them have a Chlamydia infection is:_______ a. 0.084. b. 0.919. c. 0.972. d. nearly 1.
Answer:
(1) a. 0.0009
(2) d. 0.640
(3)
a. P(A and B) = 0.06. b. P(A or B) = 0.70.(4)Not disjoint
(5) a. nearly 0.
(6)b. 0.919
Step-by-Step Explanation:
(1)Probability of a baby being born with a birth defect =3%=0.03
The probability that both babies have birth defects=0.03 X 0.03= 0.0009.
(2)The probability of contracting the influenza virus each year = 20%=0.2
Therefore, the probability of not contracting the influenza virus =1-0.2=0.8
The probability that neither baby catches the flu in a given year:
=0.8 X 0.8
=0.64
(3)
P(A)=0.1
P(B)=0.6
P(A or B)=P(A)+P(B)=0.1 + 0.6 =0.7
P(A and B)=P(A)XP(B)=0.1 X 0.6 =0.06
(4)
P(A)=0.2
P(B)=0.9
Event A and B cannot be disjoint.
(5)
The probability of an American woman aged 20 to 24 having Chlamydia infection [tex]=\dfrac{2791.5}{100000}[/tex]
The probability that three randomly selected women in this age group have the infection
[tex]=\dfrac{2791.5}{100000} \times \dfrac{2791.5}{100000} \times \dfrac{2791.5}{100000} \\\\=0.00002175\\\approx 0[/tex]
(6)The probability of an American woman aged 20 to 24 not having Chlamydia infection [tex]=1-\dfrac{2791.5}{100000}[/tex]
The probability that three randomly selected women in this age group do not have the infection
[tex]=\left(1-\dfrac{2791.5}{100000}\right)^3\\\\=0.9186\\\approx 0.919[/tex]
The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 < T < 36 , where T is the temperature of the food. When the food is removed from the refrigerator, the temperature is given by T ( t ) = 8 t + 1.7 , where t is the time in hours. Find the composite function N ( T ( t ) ) : N ( T ( t ) ) = Find the time when the bacteria count reaches 8019. Time Needed = hours
Answer:
[tex]N(T(t)) = 1408t^2 - 385.6t - 105.52[/tex]
Time for bacteria count reaching 8019: t = 2.543 hours
Step-by-step explanation:
To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:
[tex]N(T(t)) = 22 * (8t + 1.7)^2 - 123 * (8t + 1.7) + 40[/tex]
[tex]N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40[/tex]
[tex]N(T(t)) = 1408t^2 + 598.4t + 63.58 - 984t - 169.1[/tex]
[tex]N(T(t)) = 1408t^2 - 385.6t - 105.52[/tex]
Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:
[tex]8019 = 1408t^2 - 385.6t - 105.52[/tex]
[tex]1408t^2 - 385.6t - 8124.52 = 0[/tex]
Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.
The diameter of ball bearings produced in a manufacturing process can be explained using a uniform distribution over the interval 3.5 to 5.5 millimeters. What is the probability that a randomly selected ball bearing has a diameter greater than 4.4 millimeters
Answer:
The probability that a randomly selected ball bearing has a diameter greater than 4.4 millimeters is P=0.55.
Step-by-step explanation:
A uniform distribution have a constant probability for each value within the interval, in this case 3.5 to 5.5 mm., and 0 for any value outside this interval.
We can calculate the probability that we have a diameter of X=4.4 or greater as:
[tex]P(X>4.4)=\dfrac{Max-X}{Max-Min}=\dfrac{5.5-4.4}{5.5-3.5}=\dfrac{1.1}{2}=0.55[/tex]
The probability that a randomly selected ball bearing has a diameter greater than 4.4 millimeters is P=0.55.
Question 10 of 32
1 Point
The standard form of the equation of a parabola is
y=1x2 - 4x +21. What is the vertex form of the equation?
O A. y =(x+4)2 +13
O B. y=2(x+4)2 +21
C. y = 2(x-4)2 + 21
D. y = -(x-4)? +13
i thinhk is C DONT NOW
which of these is a step constructing an inscribed square using technology?
Answer:
Mark the points of intersection between circle A and line AB.
Step-by-step explanation:
The attached shows an inscribed square created using technology. We started with point A and B, drew the circle with radius AB, and drew the line AB. Then we marked point C at the intersection of circle A and line AB.
We had a perpendicular to AB drawn through A, and marked its intersection with circle A as points D and E. Finally, we drew inscribed square BDCE.
__
Other answer choices may somehow be involved. We'd need to see the construction to be sure. The one shown above seemed most likely.
Moises read a book that is more than 200 pages long. It took him 10 days, and he read the same number of pages each day. The inequality 10 p greater-than 200 represents the possible values of p, the number of pages he read each day.
Which is a possible value of p?.
10
15
20
25
Answer:
25
Step-by-step explanation:
10p > 200
10 * 10 < 200
10 * 15 < 200
10 * 20 = 200
10 * 25 > 200
Answer:
The answer is D
Step-by-step explanation:
Find the derivative of g(t)=3t^2+2t at t=-1 algebraically
Answer:
8.
Step-by-step explanation:
If y = ax^n then the derivative y' = anx^(n-1)
g(t) = 3t^2 + 2t so the derivative g'(t)
2*3 t^(2-1) + 2t(1-1)
= 6t + 2
At t =1 its value is 6 + 2 = 8.
Find the interquartile range (IQR) of the data in the dot plot below. luis lacrosse scoring each season pls helpppppppppppppppp
Answer:
3.5
Step-by-step Explanation:
To find the IQR of the given data in the dot plot shown in the attachment below, follow the steps below:
==>Step 1: write out each data point represented on the dot plot in an ordered manner. A dot represents each value of number of goals scored by Luis each season.
Thus, we would have:
43 (1 dot)
44, 44, 44 (3 dots)
45, 45(2 dots)
47 (1 dot)
48, 48 (2 dots)
Our data set from the least to the highest is: 43, 44, 44, 44, 45, 45, 47, 48, 48
==>Step 2: Find the median
Our median value is the middle value of our data set. Thus:
43, 44, 44, 44, | 45, | 45, 47, 48, 48
Our median would be 45.
==>Step 3: Find the upper and lower median (Q3 & Q1):
Our upper median (Q3) would be the middle value of the upper portion of our data set, while our lower median would be the middle value portion of our data set.
Upper portion of our data set are the values we have from our median point upwards towards our right, while the lower portion are values downwards to our left. Thus, our upper and lower median values are shown below which would be the mean of the 2 middle values shown in the brackets below:
43, (44, 44,) 44, | 45, | 45, (47, 48,) 48
Upper median (Q3) = (47+48) ÷ 2 = 47.5
Lower median (Q1) = (44+44) ÷ 2 = 44
==>Step 4: Subtract the lower median from the upper median to get the IQR.
IQR = Upper median (Q3) - Lower median (Q1)
IQR = 47.5 - 44
IQR = 3.5
Answer:
3.5
Step-by-step Explanation:
To find the IQR of the given data in the dot plot shown in the attachment below, follow the steps below:
==>Step 1: write out each data point represented on the dot plot in an ordered manner. A dot represents each value of number of goals scored by Luis each season.
Thus, we would have:
43 (1 dot)
44, 44, 44 (3 dots)
45, 45(2 dots)
47 (1 dot)
48, 48 (2 dots)
Our data set from the least to the highest is: 43, 44, 44, 44, 45, 45, 47, 48, 48
==>Step 2: Find the median
Our median value is the middle value of our data set. Thus:
43, 44, 44, 44, | 45, | 45, 47, 48, 48
Our median would be 45.
==>Step 3: Find the upper and lower median (Q3 & Q1):
Our upper median (Q3) would be the middle value of the upper portion of our data set, while our lower median would be the middle value portion of our data set.
Upper portion of our data set are the values we have from our median point upwards towards our right, while the lower portion are values downwards to our left. Thus, our upper and lower median values are shown below which would be the mean of the 2 middle values shown in the brackets below:
43, (44, 44,) 44, | 45, | 45, (47, 48,) 48
Upper median (Q3) = (47+48) ÷ 2 = 47.5
Lower median (Q1) = (44+44) ÷ 2 = 44
==>Step 4: Subtract the lower median from the upper median to get the IQR.
IQR = Upper median (Q3) - Lower median (Q1)
IQR = 47.5 - 44
IQR = 3.5
I need help for the solution
Answer:
[tex]\boxed{ \ dY_t=(2\theta+2\psi Y_t+\phi^2)dt+2\phi \sqrt{Y_t}dW_t\ }[/tex]
Step-by-step explanation:
it is a long time I have not applied Ito's lemma
I would say the following
for [tex]f(x)=x^2[/tex]
f'(x)=2x
f''(x)=2
so using Ito's lemma we can write that
[tex]dY_t=2V_tdV_t+\phi^2dt[/tex]
[tex]dY_t=2(\theta+\psi V_t^2)dt+2\phi V_tdW_t+\phi^2dt[/tex]
[tex]dY_t=(2\theta+2\psi V_t^2+\phi^2)dt+2\phi V_tdW_t[/tex]
so it comes
[tex]dY_t=(2\theta+2\psi Y_t+\phi^2)dt+2\phi \sqrt{Y_t}dW_t[/tex]
What is the value of x?
57°
(3x + 6)°
Answer:
x = 9
Step-by-step explanation:
Answer:
x = 9
Step-by-step explanation:
a right angle is 90 degrees, so
90 - 57 = 33
33 - 6 = 27
3 * 9 = 27 :)
How many solutions does 6-3x=4-x-3-2x have?
Answer:
no solutions
Step-by-step explanation:
6-3x=4-x-3-2x
Combine like terms
6-3x =1 -3x
Add 3x to each side
6 -3x+3x = 1-3x+3x
6 =1
This is not true so there are no solutions
Answer:
No solutions.
Step-by-step explanation:
6 - 3x = 4 - x - 3 - 2x
Add or subtract like terms if possible.
6 - 3x = -3x + 1
Add -1 and 3x on both sides.
6 - 1 = -3x + 3x
5 = 0
There are no solutions.
Which would be appropriate compatible numbers to use to estimate ( 19 4 5 ) ( 4 6 ) ? Using this compatible number, what is the estimated product?
Answer: first box is 20 (1/2)
Second box is 10
Answer:
Answer: first box is 20 (1/2)
Second box is 10
Step-by-step explanation:
Please answer this correctly
Answer:
3/10
Step-by-step explanation:
Given thaty=5x - 2, what is the value of x when y = 23
Answer:
5
Step-by-step explanation:
y=5x-2
y=23
23=5x-2
25=5x
x=5
Hope this helps!
Answer:
x=5
Step-by-step explanation:
y=5x-2
23=5x-2
25=5x
x=5
Farhan has three pieces of rope with lengths of 140cm, 168cm and 210cm. He wishes to cut all the three pieces of ropes into smaller pieces of equal length and that there is no leftover rope. (i) What is the greatest possible length of each of the smaller pieces of rope? How many smaller pieces of rope can he get altogether?
give correct answer
Answer:
The greatest possible length is 14 cm.
The total number of smaller pieces is 37.
Step-by-step explanation:
The greatest common factor of these three numbers is 14.
Total number of smaller pieces = 10+12+15 = 37
Best Regards!
Make a situation where 8=D
Answer:
Some situation can be where D equals
8800/1001600/50Step-by-step explanation:
8 is also known as 8 wholes so,
800/100 and 1600/50 are both equal to 8.
Please mark Brainliest
Let's write an equation.
[tex]\frac{3}{2}d = 12[/tex]
If d is being multiplied by a fraction, simply multiply both sides of the equation by the reciprocal of that fraction to get d by itself.
So in this problem, since d is being multiplied by 3/2,
we multiply both sides of the equation by 2/3.
On the left, (2/3)(3/2) cancels out and on the right, if you multiply 12 by 2/3, the 12 and 3 reduce to 4 and 1 so we have (4)(2) which is 8.
The graph of Fx), shown below, resembles the graph of G(x) = x2, but it has
been changed somewhat. Which of the following could be the equation of
F(x)?
Answer:
Correct answer is:
C. [tex]F(x) =-x^{2} -3[/tex]
Step-by-step explanation:
We are given a function:
[tex]G(x) = x^{2}[/tex]
The graph of [tex]G(x)[/tex] is also shown in the given question figure.
It is a parabola with vertex at (0,0).
Sign of [tex]x^{2}[/tex] is positive, that is why the parabola opens up.
General equation of parabola is given as:
[tex]y = a(x-h)^2+k[/tex]
Here, in G(x), a = 1
Vertex (h,k) is (0,0).
As seen from the question figure,
The graph of F(x) opens down that is why it will have:
Sign of [tex]x^{2}[/tex] as negative. i.e. [tex]a = -1[/tex]
And vertex is at (0,-3)
Putting the values of a and vertex coordinates,
Hence, the equation of parabola will become:
[tex]y = -1(x-0)^2+(-3)\\y = -x^2-3[/tex]
The correct answer is:
C. [tex]F(x) =-x^{2} -3[/tex]
The required equation of graph f(x) is [tex]y = -x^{2} -3[/tex]
Given that,
The graph of f(x), resembles the graph of G(x) = [tex]x^{2}[/tex].
We have to find,
Which of the following could be the equation of f(x).
According to the question,
Function, [tex]G(x) = x^{2}[/tex],
The graph in the given question figure. It is a parabola with vertex at (0,0).
By the graph predict that Sign of [tex]x^{2}[/tex] is positive, that is why the parabola opens up.
General equation of parabola is given by,
[tex]y = a(x-h)^{2} +k[/tex]
Where, a = 1, and vertex (h, k) is (0,0).
The graph of F(x) unknown function opens down ,
Sign of [tex]x^{2}[/tex] as negative. and the vertex is at (0,-3)
To find the equation of function f(x),
Putting the values of a and vertex coordinates,
[tex]y = a(x-h)^{2} +k[/tex]
The equation of parabola become:
[tex]y = -1(x-0)^{2} +(-3)\\\\y = -x^{2} -3[/tex]
Hence, The required equation of f(x) is [tex]y = -x^{2} -3[/tex].
For more information about Parabola click the link given below.
https://brainly.com/question/4074088
Ben and Cam are scuba diving. Ben is 15.815.815, point, 8 meters below the surface of the water. Cam is 4.24.24, point, 2 meters above Ben. What is Cam's position relative to the surface of the water?
Answer:
Cam is at 6m below the surface of the water.
Step-by-step explanation:
Ignore all info except:
Ben is 8 meters below the surface of the water.
Cam is 2 meters above Ben
So now answer this;
What is Cam's position relative to the surface of the water?
This is too simple. Cam is 2 m above Ben which means two meter closer to the surface as Ben.
Ben was 8 m below the surface. By this Cam is 2 m closer to the surface, which is 8 - 2 = 6 m.
Cam is at 6m below the surface of the water.
Answer:
b
Step-by-step explanation:
got it from khan
please mark me brainiest that would be appreciated
find the surface area of a square pyramid. round yo ur answer to the nearest hundredth
Answer:
A=a^2+2a√(a2/4+h^2)
Step-by-step explanation:
a Base edge
h Height
Since there are no values you'll need to put them in yourself.
